AIM: Write a program to do Binary Search using a given Search Key in a Sorted Linear Array 'A' which has N values in it. Description: The binary search algorithm can only be used with sorted array and eliminates one half of the elements in the array being searched after each comparison. The binary search algorithm applied to our array A works as follows: Algorithm: (Binary Search) Here A is a sorted Linear Array with N elements stored in it in sorted order and SKEY is a given item of information to search. This algorithm finds the location of SKEY in A and if successful, it returns its location otherwise it returns -1 for unsuccessful. BinarySearch (A, N, SKEY) [Initialize segment variables.] 1. Set START=0, END=N-1 and MID=int((START+END)/2). 2. Repeat Steps 3 and 4 while START ≤ END and A[MID]+SKEY. 3. If SKEY< A[MID] Then Set END=MID-1. Else Set START=MID+1. [End of If Structure.] Set MID=int((START +END)/2). [End of Step 2 loop.] 5. If A[MID] = SKEY then Else 4. Set LOC = -1 [End of IF structure.] 6. return LOC and End Set LOC= MID

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
Problem 15PE
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AIM: Write a program to do Binary Search using a given Search Key in a Sorted
Linear Array 'A' which has N values in it.
Description: The binary search algorithm can only be used with sorted array
and eliminates one half of the elements in the array being searched after each
comparison. The binary search algorithm applied to our array A works as follows:
Algorithm: (Binary Search)
Here A is a sorted Linear Array with N elements stored in it in sorted order
and SKEY is a given item of information to search. This algorithm finds the
location of SKEY in A and if successful, it returns its location otherwise it returns
-1 for unsuccessful.
BinarySearch (A, N, SKEY)
[Initialize segment variables.]
1. Set START=0, END=N-1 and MID=int((START+END)/2).
2. Repeat Steps 3 and 4 while START ≤ END and A[MID]+SKEY.
3.
If SKEY< A[MID] Then
Set END=MID-1.
Else Set START=MID+1.
[End of If Structure.]
4.
Set MID=int((START +END)/2).
[End of Step 2 loop.]
5. If A[MID] = SKEY then Set LOC= MID
Else
Set LOC = -1
[End of IF structure.]
6. return LOC and End
Transcribed Image Text:AIM: Write a program to do Binary Search using a given Search Key in a Sorted Linear Array 'A' which has N values in it. Description: The binary search algorithm can only be used with sorted array and eliminates one half of the elements in the array being searched after each comparison. The binary search algorithm applied to our array A works as follows: Algorithm: (Binary Search) Here A is a sorted Linear Array with N elements stored in it in sorted order and SKEY is a given item of information to search. This algorithm finds the location of SKEY in A and if successful, it returns its location otherwise it returns -1 for unsuccessful. BinarySearch (A, N, SKEY) [Initialize segment variables.] 1. Set START=0, END=N-1 and MID=int((START+END)/2). 2. Repeat Steps 3 and 4 while START ≤ END and A[MID]+SKEY. 3. If SKEY< A[MID] Then Set END=MID-1. Else Set START=MID+1. [End of If Structure.] 4. Set MID=int((START +END)/2). [End of Step 2 loop.] 5. If A[MID] = SKEY then Set LOC= MID Else Set LOC = -1 [End of IF structure.] 6. return LOC and End
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